A Farmer Has 216 Feet of Fencing and Wants to Build

Multiple Choice

A farmer has 216 feet of fencing and wants to build two identical pens for his prize-winning pigs.The pens will be arranged as shown.Determine the dimensions of a pen that will maximize its area.

A) $7 ^ { \circ } \times 176$
B) $21 ^ { \prime } \times 52 ^ { 2 }$
C) $27 ^ { \circ } \times 72 ^ { 2 }$
D) $9 \times 108$
E) $27 ^ { \circ } \times 36 ^ { 6 }$